#Conjecture

A group of young mathematicians found the solution to the long unanswered conjecture, first inspired by juggling, through randomness and friendship.

Physical Superintelligence said a research system running a non-public Anthropic model found a Lean-accepted proof of the Aaronson-Ambainis conjecture, open since 2008.

OpenAI has announced three results produced by its internal models, in harmonic analysis, complexity theory, and quantum field theory. Each one is being handled differently, with outside researchers acting as shepherds to examine and explain the output.…

‘If the claim is correct, it will change’ computer science, say the experts examining OpenAI’s Exponential Time Hypothesis result.

“... the KLS conjecture (named after its creators, Ravi Kannan, László Lovász and Miklós Simonovits) asks a simple question: Suppose you want to cut a convex shape — maybe an apple without dimples — into two equal-size portions, and you’re planning to put…

This post concerns the following conjecture of Sendov, as well as its strengthening by Phelps–Rodriguez: Conjecture 1 (Sendov’s conjecture) Let $latex {n \geq 2}&fg=000000$, and let…

After an AI from OpenAI found a trick to solve an 80-year-old conjecture from Paul Erdős, mathematicians have borrowed the same technique to solve another important problem

I am in high school, and while I was making random patterns with twin primes, I discovered that every middle number of a twin prime pair can be written as the sum of two previous middle numbers.…

Take a group of runners circling a track at unique, constant paces. Answering the question of how many will always end up running alone, no matter their speed, has vexed mathematicians for decades.